Course Archives    Theoretical Statistics and Mathematics Unit
Course: Algebra II
Time: Currently not offered
Level: Undergraduate
Syllabus
Past Exams


Syllabus (Linear Algebra): Matrices and determinants. Linear equations. Basics of Polynomial rings over real and complex numbers. Vector spaces over fields. Bases and dimensions. Direct sums and quotients of vector spaces. Linear transformations and their matrices. Eigenvalues and eigen vectors. Characteristic polynomial and minimal polynomial. Bilinear forms, inner products, symmetric, hermitian forms. Unitary and normal operators. Spectral theorems.


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Past Exams
Midterm
05.pdf 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf
Solution
13.pdf 14.pdf 15.pdf
Semestral
03.pdf 05.pdf 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 15.pdf 16.pdf 17.pdf
Supplementary and Back Paper
03.pdf 11.pdf 12.pdf 15.pdf 16.pdf 17.pdf 17S.pdf

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[ Semester Schedule ][ SMU ] [Indian Statistical Institute]